A counterexample of Dirac's conjecture for a system with a higher-order singular  Lagrangian

Li Ai-Min; Zhang Xiao-Pei; Li Zi-Ping

doi:10.7498/aps.52.1057

Abstract
The extended canonical Noether identities derived from an extended action in the phase space for a system with a higher-order singular Lagrangian are formulated.Based on the canonical symmetries of generalized constrained Hamiltonian systems, a counterexample to a conjecture of Dirac is given. Using the canonical first Noether theorem and canonical Noether identities and the extended canonical Noether identities, we have shown that Dirac's conjecture fails for a system with a higher-order singular Lagrangian in which there is no linearization of constraint in our treatment.

Keywords:
higher-order derivatives theories /

generalized constrained Hamiltonian systems /

canonical symmetries /

Dirac's conjecture
Authors and contacts
Li Ai-Min,

Zhang Xiao-Pei,

Li Zi-Ping

1.
北京工业大学数理学院,北京 100022
References

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Vol. 52, Issue 5 - 2003-03-05

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A counterexample of Dirac's conjecture for a system with a higher-order singular Lagrangian

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A counterexample of Dirac's conjecture for a system with a higher-order singular Lagrangian

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